Using the extension of the code, the encoded string 0011001011 can be grouped into codewords as 0 – 011 – 0 – 01 – 011, and these in turn can be decoded to the sequence of source symbols acabc.

A code is a total function mapping each symbol from S to a sequence of symbols over T, and the extension of M to a homomorphism of into, which naturally maps each sequence of source symbols to a sequence of target symbols, is referred to as its extension.

If the expression that defines the DFT is evaluated for all integers k instead of just for, then the resulting infinite sequence is a periodic extension of the DFT, periodic with period N.

In this case the sequence is called a composition series for M. In order to prove a statement inductively using composition series, the statement is first proved for simple modules, which form the base case of the induction, and then the statement is proved to remain true under an extension of a module by a simple module.

The second is the batch mode, which executes a predefined sequence of commands stored as a text file with the extension < tt >. BAT </ tt >.

Multiple sequence alignment is an extension of pairwise alignment to incorporate more than two sequences at a time.

The term originates from the use of this technique to replace defective time code on a video tape recording by replacing it with a new time code sequence, which may be an extension of a previous good time code sequence on an earlier part of the source material.

Let F be a field and p ( X ) be a polynomial in the polynomial ring F of degree n. The general process for constructing K, the splitting field of p ( X ) over F, is to construct a sequence of fields such that is an extension of containing a new root of p ( X ).

The completion is done incrementally, by a sequence of candidate extension steps.

* Bus priority: Preferential treatment of buses at signalized intersections can involve the extension of green time and / or allowing the bus to proceed sooner, out of turn, relative to the normal sequence of signal phases.

If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence

( To see this, note that there is some extension field in which f has a root ; necessarily, in E. Therefore, working over E, ( the final equality in the sequence follows from freshman's dream ), and f does not have distinct roots.

Inductive inference, by adding up the predictions of all models describing a particular sequence, using suitable weights based on the lengths of those models, gets the probability distribution for the extension of that sequence.

The Heisenberg group is a central extension of the additive group V. Thus there is an exact sequence

An important property is that an injective endomorphism can be extended to an automorphism of a magma extension, just the colimit of the ( constant sequence of the ) endomorphism.

An injective endomorphism can be extended to an automorphism of a magma extension — the colimit of the constant sequence of the endomorphism.

Best picture quality can be ensured by combining traditional field combination methods ( weaving and blending ) and frame extension methods ( bob or line doubling ) to create a high quality progressive video sequence ; the best algorithms would also try to predict the direction and the amount of image motion between subsequent sub-fields in order to better blend the two subfields together.

* The Sierra de Neiba, with Mount Neiba the highest mountain with 2, 279 m. An extension to the southeast of Sierra de Neiba is the Sierra Martín García ( Loma Busú, 1, 350 m ).

Mexico will be an economically and militarily powerful country capable of challenging the United States, while a Mexican majority in southern regions of the United States will have made them a de facto extension of Mexico, with increasing secessionist sentiment.

Its current extension runs from the walls of the Alcazaba to the cerro of San Miguel and on the other hand, from the Puerta de Guadix to the Alcazaba.

For example, Gaspard de la nuit can be viewed as an extension of Liszt ’ s virtuosity and advanced harmonics.

Only the existing portion from just north of Alameda de las Pulgas to just south of Stanford Shopping Center was widened to four lanes ; the new extension past the shopping center was built only as two lanes.

The Côte des Blancs grapes are known for their finesse and the freshness they add to blends with the extension of the nearby Côte de Sézanne offering similar though slightly less distinguished traits.

In Dürr et al., the authors describe an extension of de Broglie – Bohm theory for handling creation and annihilation operators, which they refer to as " Bell-type quantum field theories ".

Between the Tuileries gardens and the Champs Élysées extension a jumble of buildings remained on the site of Place de la Concorde until early in the reign of Louis XV, for whom the square was at first named.

In 1783, the château became the private property of king Louis XVI, who bought it from his cousin the duc de Penthièvre as an extension of his hunting grounds.

Halley's comet and the Great Comet of 1843, and took an active part in the verification and extension of Nicolas Louis de Lacaille's arc of the meridian.

In the field of large transport infrastructures, Taller de Arquitectura designed the 1991 extension and remodelling of Barcelona Airport ( now known as Terminal 2 ) as well as its more recent extension, Terminal 1, completed in 2010 and awarded 2011 Best Airport Southern Europe.

The de Breyne extension was made possible by a generous response from the businessman André de Breyne and other fund-raising efforts.

In 1909, it too was purchased by Madame de Leobardy and became an extension of the convent school next door.

The modern extension of the building houses Planétarium de Strasbourg.

Carl O. Sauer described Ponce de León's 1513 expedition in which he " discovered " Florida as simply " an extension of slave hunting beyond the empty islands.

The Cholula area has fifty eight preschools, sixty nine primary schools, fifty four middle schools, sixteen high schools, six technical / professional schools above the high school level and an extension of the Universidad de las Américas.

p ' ye-baek – pacte civil de solidarité – pain during intercourse – painful ejaculation – painful intercourse – painful ovulation – painful sex – pair-bonding – pairbond – pait likkhi – panderer – pandering – pansexual – pansexuality – panty fetishism – panty liner – panty pad – pantyhose fetishism – para 0 – para 1 – paramesonephric ducts – paranymph – paraphilia – paraphiliac – paraphilic adolescentilism – paraphilic gerontalism – paraphilic infantilism – paraphilic juvenilism – paraphimosis – parasympathetic nervous system – paraurethral glands – parovarium – paroöphoron – Parsee wedding – Parsi marriage customs – Parsi wedding – parthenogenesis – parthenos – partial androgen insensitivity syndrome – partialism – partialism ( paraphilia ) – partible paternity – party and play – passivism – pasties-paternity – paternity suit – pathicus – patriarchy – patrilocal residence – pearling – pearly penile papules – pecattiphilia – pedal pumping – pederasty – pediophilia – pedophilia – pedophilia and sexual orientation – peep show – Peeping Tom – peg boy – pegging – pelvic exam – pelvic examination – pelvic floor – pelvic floor muscles – pelvic inflammatory disease – pelvic malignancy – pelvic pain – penectomy – penetration – penetration phobia – penetration toy – penetrative sexual intercourse – penile anesthesia – penile cancer – penile fracture – penile inversion – penile ligation – penile plethysmography – penile suspensory ligament – penis – penis captivus – penis diameter – penis enlargement – penis extension – penis girth – penis gourd – penis length – penis modification – penis panic – penis pump – penis reattachment – penis removal – penis size – penis sleeve – penis substitute – penis transplantation – penis width – penoclitoris – peodeiktophilia – peptide hormone – perceptual image – The Perfumed Garden – perimenopause – perimetrium – perineal massage – perineal raphe – perineal reflex – perineal urethra – perineum – period – peripheral nervous system – peritomy – persistent Müllerian duct syndrome – persistent sexual arousal syndrome – persistent soliciting – personal ad – perversion – pervertible – pessary – petticoat discipline – petticoat punishment – petticoating – Petri Papyrus – petting – Peyronie disease – phallic stage – phallic symbol – phallometry – phallophilia – phalloplasty – phallus – phantom pregnancy – phenotypic matching – pheromone – philanderer – philosophy of sex – phimosis – phlebotomy – phobias – phobophilia – phone sex – Phthirius pubis – phygephilia – phylogeny – physical intimacy – pick-up artist – pictophilia – picture bride – pie throwing – piercings – the Pill – pimp – pinafore eroticism – pinaforing – pinching – pink salon – piquerism – pitching woo – pituitary gland – pity fuck – placenta – placental abruption – Planned Parenthood – plastic clothing – plateau phase – Plato's androgyne – Platonic love – Platonic marriage – Platonic relationship – play ( sexology ) – play piercing – playsuit ( lingerie ) – plaçage – plethysmography – plural marriage – plushophile – plushophilia – PnP – podophilia – point of no return – polyamory – polyandry – polyandry in Tibet – polycystic ovary syndrome – polyfidelity – polygamy – polygynandry – polygyny – polyiterophilia – polymastia – polymorphous perverse – polymorphous perversity – polythelia – pomosexual – pompoir – pony boots ( fetish footwear ) – ponyboy – ponygirl – poppers – popping her cherry – population control – Pornographic film actor – pornai – pornographic magazine – pornographic movie – pornographic novel – pornography – pornography in Europe – pornography in Japan – pornography in the United States – post-coital tristesse – post-natal depression – post-orgasmic pain – post-partum sex taboo – posterior commissure of labia – posthumous marriage – postmasturbatory urine – postpartum examination – potency – pozcum – pre-eclampsia – pre-ejaculate – pre-ejaculatory fluid – pre-marital sex – pre-menstrual tension – pre-op transsexual – precocious puberty – predicament bondage – prednisone – pregnancy – pregnancy fetishism – pregnancy over age 50 – Prehn's sign – preimplantation genetic diagnosis – premarital intercourse – premature ejaculation – premature puberty – premenstrual dysphoric disorder – premenstrual stress syndrome – prenatal masculinization – prenatal screening – prenatal testing – prenuptial agreement – prepenetrative orgasm – prepuce ( disambiguation ) – prepuce plasty – preputial plasty – preputial ring – preputial stenosis – preputioplasty – President's Commission on Obscenity and Pornography – priapism – Priapus – primatologist – primigravida – Prince Albert piercing – prince's wand – Princess Albertina – prison rape – prison sexuality – private dancer-proceptive phase – procurer – professional dominant – professional dominatrix – professional submissive – progesterone – progesterone only pill – progestin – progestin-induced hermaphroditism – progestin-induced virilisation – progestogen – prohibited degree of kinship – prolactin – prolactin-inhibitory factor – promiscuity – prophylactic – prostaglandins – prostate – prostate cancer – prostate massage – prostate milking – prostate orgasm – prostate specific antigen – prostate-specific antigen – prostatectomy – prostatic congestion – prostatic ducts – prostatic sinus – prostatic urethra – prostatic utricle – prostatitis – prosthesis – prosthetic testis – prosthetics – prostitute – prostitute's maid – prostitutes ' maid – prostitution – prostitution in Africa – prostitution in ancient Egypt – prostitution in ancient Greece – prostitution in ancient Rome – prostitution in Asia – prostitution in Australia – prostitution in Austria – prostitution in Canada – prostitution in China – prostitution in Denmark – prostitution in Europe – prostitution in Finland – prostitution in France – prostitution in Germany – prostitution in Hong Kong – prostitution in Iceland – prostitution in India – prostitution in Italy – prostitution in Japan – prostitution in Latin America – prostitution in Medieval Europe – prostitution in Myanmar – prostitution in Nepal – prostitution in Nevada – prostitution in New Zealand – prostitution in Rhode Island – prostitution in Russia – prostitution in Saudi Arabia – prostitution in South Korea – prostitution in Sweden – prostitution in Taiwan – prostitution in Thailand – prostitution in the Czech Republic – prostitution in the Netherlands – prostitution in the People's Republic of China – prostitution in the Philippines – prostitution in the Republic of Ireland – prostitution in the United Kingdom – prostitution in the United States – proxy marriage – proxy wedding – prudery – pseudocyesis – pseudohermaphrodite – pseudohermaphroditism – pseudovaginal perineoscrotal hypospadias – psychoendocrinology – psychohormonal – psycholagny – psychomotor epilepsy – Psychopathia Sexualis – psychopathia transsexualis – psychopathic – psychosexual development – psychosexual disorder – psychosexual inversion – psychosexual stages – psychrophilia – PT-141 – pubertal delay – puberty – puberty blockers – pubic depilation – pubic dressing – pubic hair – pubic lice – pubic piercing – pubic shaving – pubic symphysis – public nudity – public sex – pubococcygeus muscle – pudenda – pudendal cleft – pudendal nerve – puerperal psychosis – puerperium – pup-play – purdah – puritan – puritanism – purity ring – putative marriage – PVC fetishism – pygmalionism – pygophilia – pyromania – pyrophilia –

He succeeded his aunt Albreda – and by extension, her eldest brother Berengar – as heir both to Berengar's tenancy-in-chief in Lincolnshire and the Norman lands of Robert de Tosny of Belvoirwas.

In the 1350s a major extension was undertaken by John de St Paul, Archbishop of Dublin 1349-62.

Left to right, Jean-Marie Muller, Lanza del Vasto, Jacques de la Bollardière on the Larzac during the struggle against the military camp extension.

of the Hōjō clan was the eighth shikken ( officially regent, but de facto ruler of Japan ) of the Kamakura shogunate ( reigned 1268 – 84 ), known for leading the Japanese forces against the invasion of the Mongols and for spreading Zen Buddhism and by extension Bushido among the warrior class.

In the case of a Galois extension L / K the subgroup of all automorphisms of L fixing K pointwise is called the Galois group of the extension.

In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K, i. e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions that are not algebraic, i. e. which contain transcendental elements, are called transcendental.

Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.

Model theory generalizes the notion of algebraic extension to arbitrary theories: an embedding of M into N is called an algebraic extension if for every x in N there is a formula p with parameters in M, such that p ( x ) is true and the set

The language was fast enough that an extension called AMOS 3D could produce playable 3D games even on plain 7MHz Amigas.

This subextension is called a separable closure of K. Since a separable extension of a separable extension is again separable, there are no finite separable extensions of K < sup > sep </ sup >, of degree > 1.

Stroustrup began developing C ++ in 1979 ( then called " C with Classes "), and, in his own words, " invented C ++, wrote its early definitions, and produced its first implementation ... chose and formulated the design criteria for C ++, designed all its major facilities, and was responsible for the processing of extension proposals in the C ++ standards committee.

By extension, the term " embark " literally means to board the kind of boat called a " barque ".

In this case, is the smallest σ-algebra that contains the open intervals of R. While there are many Borel measures μ, the choice of Borel measure which assigns for every interval is sometimes called " the " Borel measure on R. In practice, even " the " Borel measure is not the most useful measure defined on the σ-algebra of Borel sets ; indeed, the Lebesgue measure is an extension of " the " Borel measure which possesses the crucial property that it is a complete measure ( unlike the Borel measure ).

Their operating systems, called MCP ( Master Control Program — the name later borrowed by the screenwriters for Tron ), were programmed in ESPOL ( Executive Systems Programming Oriented Language, a minor extension of ALGOL ), and later in NEWP ( with further extensions to ALGOL ) almost a decade before Unix.

Descartes proposed that consciousness resides within an immaterial domain he called res cogitans ( the realm of thought ), in contrast to the domain of material things which he called res extensa ( the realm of extension ).

The function F is called prefix-free if there are no two elements p, p ′ in its domain such that p ′ is a proper extension of p. This can be rephrased as: the domain of F is a prefix-free code ( instantaneous code ) on the set of finite binary strings.

An extensional definition, also called a denotative definition, of a concept or term specifies its extension.

Older editions of the extension had a five-player version with five islands, called The Five Islands.

These are called " universal names "; their meaning is a " concept " and refers to a series of objects ( the extension of the concept ).

A school voucher, also called an education voucher, is a certificate issued by the government, which parents can apply toward tuition at a private school ( or, by extension, to reimburse home schooling expenses ), rather than at the state school to which their child is assigned.

A newer flight control system, called Intelligent Flight Control System ( IFCS ), is an extension of modern digital fly-by-wire flight control systems.

If E / F is a Galois extension, then Aut ( E / F ) is called the Galois group of ( the extension ) E over F, and is usually denoted by Gal ( E / F ).

If E / F is a Galois extension, then Gal ( E / F ) can be given a topology, called the Krull topology, that makes it into a profinite group.